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151606656 = 27321011303
BaseRepresentation
bin10010000100101…
…01010110000000
3101120021102020100
421002111112000
5302302403111
623013242400
73520430625
oct1102252600
9346242210
10151606656
117863a363
1242933400
13255422a6
14161c634c
15d49a756
hex9095580

151606656 has 96 divisors (see below), whose sum is σ = 440921520. Its totient is φ = 49996800.

The previous prime is 151606603. The next prime is 151606657. The reversal of 151606656 is 656606151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 151606656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151606657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115701 + ... + 117003.

Almost surely, 2151606656 is an apocalyptic number.

151606656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220460760).

151606656 is an abundant number, since it is smaller than the sum of its proper divisors (289314864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151606656 is a wasteful number, since it uses less digits than its factorization.

151606656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 151606656 is about 12312.8654666572. The cubic root of 151606656 is about 533.2195812957.

The spelling of 151606656 in words is "one hundred fifty-one million, six hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 288 303 384 404 576 606 808 909 1152 1212 1303 1616 1818 2424 2606 3232 3636 3909 4848 5212 6464 7272 7818 9696 10424 11727 12928 14544 15636 19392 20848 23454 29088 31272 38784 41696 46908 58176 62544 83392 93816 116352 125088 131603 166784 187632 250176 263206 375264 394809 500352 526412 750528 789618 1052824 1184427 1501056 1579236 2105648 2368854 3158472 4211296 4737708 6316944 8422592 9475416 12633888 16845184 18950832 25267776 37901664 50535552 75803328 151606656